粘性表面波方程低正则性强解的构造

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2025-04-23 DOI:10.1007/s00021-025-00936-0

Guilong Gui, Yancan Li

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引用次数: 0

摘要

本文构造了各向异性Sobolev空间中粘性表面波方程的低正则性强解。利用系统的拉格朗日结构对自由边界条件进行均匀化，并结合线性算子的半群方法，在已知平衡域上建立了一种新的迭代格式，以得到不需要初始数据上加速度相容条件的低正则性强解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Construction of Low Regularity Strong Solutions to the Viscous Surface Wave Equations

We construct in the paper the low-regularity strong solutions to the viscous surface wave equations in anisotropic Sobolev spaces. By using the Lagrangian structure of the system to homogenize the free boundary conditions coupled with the semigroup method of the linear operator, we establish a new iteration scheme on a known equilibrium domain to get the low-regularity strong solutions, in which no compatibility conditions of the accelerated velocity on the initial data are required.

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来源期刊

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.